What is the Greatest Common Factor of 50336 and 50349?

Greatest common factor (GCF) of 50336 and 50349 is 13.

GCF(50336,50349) = 13

We will now calculate the prime factors of 50336 and 50349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50336 and 50349.

How to find the GCF of 50336 and 50349?

We will first find the prime factorization of 50336 and 50349. After we will calculate the factors of 50336 and 50349 and find the biggest common factor number .

Step-1: Prime Factorization of 50336

Prime factors of 50336 are 2, 11, 13. Prime factorization of 50336 in exponential form is:

50336 = 2⁵ × 11² × 13¹

Step-2: Prime Factorization of 50349

Prime factors of 50349 are 3, 13, 1291. Prime factorization of 50349 in exponential form is:

50349 = 3¹ × 13¹ × 1291¹

Step-3: Factors of 50336

List of positive integer factors of 50336 that divides 50336 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 121, 143, 176, 208, 242, 286, 352, 416, 484, 572, 968, 1144, 1573, 1936, 2288, 3146, 3872, 4576, 6292, 12584, 25168

Step-4: Factors of 50349

List of positive integer factors of 50349 that divides 50336 without a remainder.

1, 3, 13, 39, 1291, 3873, 16783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50336 and 50349. The biggest common factor number is the GCF number.
So the greatest common factor 50336 and 50349 is 13.

Also check out the Least Common Multiple of 50336 and 50349